55:@0.943272:0.974518:0.962770:0.974518:0.962770:0.957377:0.943272:0.957377:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.525225:0.043660:0.930049:0.043660:0.930049:0.024915:0.525225:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Secante: :@0.744288:0.834230:0.806091:0.834230:0.806091:0.819076:0.744288:0.819076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la calculadora :@0.805999:0.834230:0.900244:0.834230:0.900244:0.819946:0.805999:0.819946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe estar en modo de :@0.744285:0.849359:0.902821:0.849359:0.902821:0.835075:0.744285:0.835075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radianes para resolver :@0.744285:0.864488:0.891339:0.864488:0.891339:0.850204:0.744285:0.850204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas que impliquen :@0.744285:0.879617:0.919724:0.879617:0.919724:0.865333:0.744285:0.865333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uso de funciones :@0.744285:0.894746:0.860952:0.894746:0.860952:0.880461:0.744285:0.880461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas.:@0.744285:0.909875:0.852432:0.909875:0.852432:0.895590:0.744285:0.895590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740285:0.769012:0.892671:0.769012:0.892671:0.753605:0.740285:0.753605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y TIC:@0.740285:0.784141:0.853068:0.784141:0.853068:0.769856:0.740285:0.769856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Csc:@0.073009:0.157405:0.096791:0.157405:0.096791:0.141970:0.073009:0.141970:0.000000:0.000000:0.000000
::@0.096739:0.157405:0.099942:0.157405:0.099942:0.141693:0.096739:0.141693:0.000000
x:@0.114116:0.173201:0.121571:0.173201:0.121571:0.157766:0.114116:0.157766:0.000000
Csc x:@0.150691:0.173035:0.186953:0.173201:0.186953:0.157766:0.150691:0.157599:0.000000:0.000000:0.000000:0.000000:0.000000
( ) :@0.174620:0.173201:0.195862:0.173201:0.195862:0.157488:0.174620:0.157488:0.000000:0.000000:0.000000:0.000000
5 :@0.195862:0.172646:0.215797:0.172646:0.215797:0.158931:0.195862:0.158931:0.000000:0.000000
k:@0.133425:0.144536:0.140990:0.144536:0.140990:0.129100:0.133425:0.129100:0.000000
p:@0.140917:0.144314:0.153194:0.144314:0.153194:0.130598:0.140917:0.130598:0.000000
 |      :@0.153102:0.144536:0.199507:0.144536:0.199507:0.128823:0.153102:0.128823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.168804:0.144536:0.176369:0.144536:0.176369:0.129100:0.168804:0.129100:0.000000
[:@0.180235:0.144716:0.195568:0.144716:0.195568:0.130667:0.180235:0.130667:0.000000
Z:@0.199433:0.143939:0.211711:0.143939:0.211711:0.131042:0.199433:0.131042:0.000000
5:@0.102126:0.180019:0.106584:0.180019:0.106584:0.120963:0.102126:0.120963:0.000000
R:@0.109381:0.143770:0.123879:0.143770:0.123879:0.129700:0.109381:0.129700:0.000000
\:@0.123879:0.144103:0.129462:0.144103:0.129462:0.129141:0.123879:0.129141:0.000000
R:@0.242476:0.145162:0.256974:0.145162:0.256974:0.131092:0.242476:0.131092:0.000000
→:@0.218279:0.146297:0.238098:0.146297:0.238098:0.129262:0.218279:0.129262:0.000000
→:@0.124602:0.175571:0.144422:0.175571:0.144422:0.158536:0.124602:0.158536:0.000000
1:@0.230227:0.166025:0.239210:0.166025:0.239210:0.150312:0.230227:0.150312:0.000000
Sen x:@0.215009:0.180391:0.252910:0.180391:0.252910:0.164956:0.215009:0.164956:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.240577:0.180391:0.257788:0.180391:0.257788:0.164679:0.240577:0.164679:0.000000:0.000000:0.000000
.:@0.259677:0.159922:0.262880:0.159922:0.262880:0.144209:0.259677:0.144209:0.000000
Determinemos el recorrido de esta función:  :@0.073083:0.201582:0.399679:0.201582:0.399679:0.185869:0.073083:0.185869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec  Csc:@0.075067:0.253235:0.131577:0.253235:0.131577:0.237921:0.075067:0.237921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.102770:0.253400:0.107648:0.253400:0.107648:0.237811:0.102770:0.237811:0.000000
) :@0.131577:0.253400:0.140486:0.253400:0.140486:0.237811:0.131577:0.237811:0.000000:0.000000
5  `:@0.140486:0.252850:0.186781:0.253015:0.186781:0.239407:0.140486:0.239242:0.000000:0.000000:0.000000:0.000000
]– , –1] :@0.160421:0.253400:0.221110:0.253400:0.221110:0.237811:0.160421:0.237811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< :@0.221110:0.253262:0.241045:0.253262:0.241045:0.239325:0.221110:0.239325:0.000000:0.000000
[1,  [.:@0.241045:0.253400:0.282498:0.253400:0.282498:0.237811:0.241045:0.237811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
`:@0.262140:0.253015:0.274418:0.253015:0.274418:0.239407:0.262140:0.239407:0.000000
Rec  Csc x:@0.073089:0.227403:0.141317:0.227403:0.141317:0.211968:0.073089:0.211968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.100527:0.227403:0.105404:0.227403:0.105404:0.211690:0.100527:0.211690:0.000000
( )) :@0.129039:0.227403:0.154883:0.227403:0.154883:0.211690:0.129039:0.211690:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.154791:0.227181:0.170124:0.227181:0.170124:0.213466:0.154791:0.213466:0.000000
5:@0.170946:0.227786:0.175404:0.227786:0.175404:0.210316:0.170946:0.210316:0.000000
 :@0.175303:0.227485:0.179334:0.227485:0.179334:0.211772:0.175303:0.211772:0.000000
Csc x x :@0.179261:0.227485:0.242416:0.227485:0.242416:0.212050:0.179261:0.212050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) | :@0.202969:0.227485:0.231795:0.227485:0.231795:0.211772:0.202969:0.211772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.242324:0.227665:0.257657:0.227665:0.257657:0.213617:0.242324:0.213617:0.000000
  \    :@0.257565:0.227485:0.301840:0.227485:0.301840:0.211772:0.257565:0.211772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R :@0.261523:0.226903:0.279323:0.226903:0.279323:0.214005:0.261523:0.214005:0.000000:0.000000
5:@0.293451:0.227786:0.297909:0.227786:0.297909:0.210316:0.293451:0.210316:0.000000
k:@0.301766:0.227485:0.309331:0.227485:0.309331:0.212050:0.301766:0.212050:0.000000
p:@0.309258:0.227263:0.321535:0.227263:0.321535:0.213548:0.309258:0.213548:0.000000
 |  :@0.321443:0.227485:0.337218:0.227485:0.337218:0.211772:0.321443:0.211772:0.000000:0.000000:0.000000:0.000000
k :@0.337145:0.227485:0.347950:0.227485:0.347950:0.212050:0.337145:0.212050:0.000000:0.000000
R Z:@0.347858:0.226903:0.377935:0.226903:0.377935:0.214005:0.347858:0.214005:0.000000:0.000000:0.000000
66:@0.377758:0.227786:0.386573:0.227786:0.386573:0.210316:0.377758:0.210316:0.000000:0.000000
.:@0.386473:0.227485:0.389676:0.227485:0.389676:0.211772:0.386473:0.211772:0.000000
La función cosecante es periódica de período π.:@0.073089:0.282778:0.422968:0.282778:0.422968:0.267065:0.073089:0.267065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función cosecante es impar, pues: :@0.073089:0.307817:0.344758:0.307817:0.344758:0.292105:0.073089:0.292105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Csc :@0.074194:0.337151:0.100857:0.337151:0.100857:0.321922:0.074194:0.321922:0.000000:0.000000:0.000000:0.000000
(:@0.100820:0.337151:0.105633:0.337151:0.105633:0.321648:0.100820:0.321648:0.000000
2 5:@0.105561:0.336933:0.151639:0.336933:0.151639:0.323399:0.105561:0.323399:0.000000:0.000000:0.000000
x:@0.120599:0.337151:0.127955:0.337151:0.127955:0.321922:0.120599:0.321922:0.000000
)                                   :@0.127882:0.337151:0.302550:0.337151:0.302550:0.321648:0.127882:0.321648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.217823:0.336933:0.232952:0.336933:0.232952:0.323399:0.217823:0.323399:0.000000
5 2:@0.283534:0.336933:0.317607:0.336933:0.317607:0.323399:0.283534:0.323399:0.000000:0.000000:0.000000
Csc  x:@0.317516:0.337151:0.356239:0.337151:0.356239:0.321922:0.317516:0.321922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ),   :@0.344142:0.337151:0.375781:0.337151:0.375781:0.321648:0.344142:0.321648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.375672:0.336933:0.387787:0.336933:0.387787:0.323399:0.375672:0.323399:0.000000
x:@0.387696:0.337151:0.395052:0.337151:0.395052:0.321922:0.387696:0.321922:0.000000
    \   :@0.394979:0.337151:0.453684:0.337151:0.453684:0.321648:0.394979:0.321648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.398884:0.337329:0.414013:0.337329:0.414013:0.323468:0.398884:0.323468:0.000000
R :@0.417827:0.336577:0.435390:0.336577:0.435390:0.323851:0.417827:0.323851:0.000000:0.000000
5:@0.445408:0.337449:0.449807:0.337449:0.449807:0.320211:0.445408:0.320211:0.000000
k:@0.453612:0.337151:0.461076:0.337151:0.461076:0.321922:0.453612:0.321922:0.000000
p:@0.461004:0.336933:0.473118:0.336933:0.473118:0.323399:0.461004:0.323399:0.000000
 |       .:@0.473027:0.337151:0.538211:0.337151:0.538211:0.321648:0.473027:0.321648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.488511:0.337151:0.495976:0.337151:0.495976:0.321922:0.488511:0.321922:0.000000
[:@0.499799:0.337329:0.514928:0.337329:0.514928:0.323468:0.499799:0.323468:0.000000
Z:@0.518742:0.336577:0.530856:0.336577:0.530856:0.323851:0.518742:0.323851:0.000000
6:@0.530752:0.337449:0.535151:0.337449:0.535151:0.320211:0.530752:0.320211:0.000000
1:@0.178655:0.329863:0.187518:0.329863:0.187518:0.314359:0.178655:0.314359:0.000000
Sen:@0.155461:0.344040:0.180689:0.344040:0.180689:0.328809:0.155461:0.328809:0.000000:0.000000:0.000000
(:@0.180689:0.344040:0.185502:0.344040:0.185502:0.328536:0.180689:0.328536:0.000000
2:@0.185502:0.343656:0.200632:0.343656:0.200632:0.330123:0.185502:0.330123:0.000000
x:@0.200632:0.344040:0.207987:0.344040:0.207987:0.328809:0.200632:0.328809:0.000000
):@0.207987:0.344040:0.212800:0.344040:0.212800:0.328536:0.207987:0.328536:0.000000
1:@0.254516:0.329863:0.263380:0.329863:0.263380:0.314359:0.254516:0.314359:0.000000
Sen x:@0.238261:0.344040:0.275657:0.344040:0.275657:0.328809:0.238261:0.328809:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.263488:0.344040:0.280470:0.344040:0.280470:0.328536:0.263488:0.328536:0.000000:0.000000:0.000000
El grafo de la función cosecante se define así::@0.073089:0.372297:0.402630:0.372297:0.402630:0.356584:0.073089:0.356584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.074973:0.397867:0.085870:0.397867:0.085870:0.382432:0.074973:0.382432:0.000000
(Csc) :@0.085797:0.397867:0.124684:0.397867:0.124684:0.382155:0.085797:0.382155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.124581:0.397645:0.144424:0.397645:0.144424:0.383930:0.124581:0.383930:0.000000:0.000000
5:@0.144334:0.398167:0.148792:0.398167:0.148792:0.380697:0.144334:0.380697:0.000000
( , csc( ))    ² |       \   :@0.148691:0.397867:0.332366:0.397867:0.332366:0.382155:0.148691:0.382155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.153496:0.397867:0.160951:0.397867:0.160951:0.382432:0.153496:0.382432:0.000000
x:@0.195832:0.397867:0.203287:0.397867:0.203287:0.382432:0.195832:0.382432:0.000000
[:@0.216724:0.398047:0.232058:0.398047:0.232058:0.383999:0.216724:0.383999:0.000000
R:@0.235923:0.397285:0.249213:0.397285:0.249213:0.384387:0.235923:0.384387:0.000000
x:@0.266056:0.397867:0.273511:0.397867:0.273511:0.382432:0.266056:0.382432:0.000000
[:@0.277376:0.398047:0.292710:0.398047:0.292710:0.383999:0.277376:0.383999:0.000000
R:@0.296575:0.397285:0.309865:0.397285:0.309865:0.384387:0.296575:0.384387:0.000000
5:@0.323975:0.398167:0.328433:0.398167:0.328433:0.380697:0.323975:0.380697:0.000000
k:@0.332292:0.397867:0.339857:0.397867:0.339857:0.382432:0.332292:0.382432:0.000000
p:@0.339784:0.397645:0.352061:0.397645:0.352061:0.383930:0.339784:0.383930:0.000000
 |      :@0.351969:0.397867:0.398374:0.397867:0.398374:0.382155:0.351969:0.382155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.367671:0.397867:0.375236:0.397867:0.375236:0.382432:0.367671:0.382432:0.000000
[:@0.379102:0.398047:0.394435:0.398047:0.394435:0.383999:0.379102:0.383999:0.000000
Z:@0.398300:0.397285:0.410578:0.397285:0.410578:0.384387:0.398300:0.384387:0.000000
66:@0.410471:0.398167:0.419286:0.398167:0.419286:0.380697:0.410471:0.380697:0.000000:0.000000
.:@0.419186:0.397867:0.422389:0.397867:0.422389:0.382155:0.419186:0.382155:0.000000
4.3 Aplicaciones de las funciones trigonométricas:@0.073089:0.428179:0.460762:0.428179:0.460762:0.411232:0.073089:0.411232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.073089:0.453225:0.202932:0.453225:0.202932:0.436556:0.073089:0.436556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El movimiento de un objeto sobre un resorte vertical puede describirse mediante la :@0.073089:0.478271:0.688953:0.478271:0.688953:0.462559:0.073089:0.462559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función coseno modificada. Una masa suspendida en el resorte está en su punto de :@0.073089:0.494913:0.690258:0.494913:0.690258:0.479200:0.073089:0.479200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilibrio cuando el resorte está en reposo. Si se comprime el resorte una cierta lon-:@0.073089:0.511555:0.688362:0.511555:0.688362:0.495842:0.073089:0.495842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gitud sobre el punto de equilibrio y se suelta, la masa oscila hacia abajo y hacia arriba :@0.073089:0.528197:0.698674:0.528197:0.698674:0.512484:0.073089:0.512484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del punto de equilibrio. El tiempo que tarda la masa en oscilar desde el punto más alto :@0.073089:0.544839:0.710158:0.544839:0.710158:0.529126:0.073089:0.529126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta el punto más bajo y de regreso al punto más alto, es su período.:@0.073089:0.561480:0.582705:0.561480:0.582705:0.545768:0.073089:0.545768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación :@0.073089:0.591144:0.164739:0.591144:0.164739:0.575432:0.073089:0.575432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y t  :@0.167033:0.590222:0.190505:0.590222:0.190505:0.576082:0.167033:0.576082:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.173812:0.590222:0.187537:0.590222:0.187537:0.575828:0.173812:0.575828:0.000000:0.000000:0.000000
5:@0.190438:0.590018:0.204484:0.590018:0.204484:0.577454:0.190438:0.577454:0.000000
3,5:@0.204400:0.590222:0.223656:0.590222:0.223656:0.575828:0.204400:0.575828:0.000000:0.000000:0.000000
 Cos   t            :@0.223589:0.590222:0.302046:0.590222:0.302046:0.576082:0.223589:0.576082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.255520:0.595548:0.261646:0.595548:0.261646:0.569084:0.255520:0.569084:0.000000
2:@0.302066:0.595548:0.308191:0.595548:0.308191:0.569084:0.302066:0.569084:0.000000
!:@0.270951:0.594234:0.277757:0.594234:0.277757:0.570595:0.270951:0.570595:0.000000
k:@0.283811:0.584796:0.290741:0.584796:0.290741:0.570656:0.283811:0.570656:0.000000
m:@0.280703:0.598084:0.294092:0.598084:0.294092:0.583944:0.280703:0.583944:0.000000
 describe el desplazamiento vertical del objeto para :@0.309022:0.591131:0.690065:0.591131:0.690065:0.575418:0.309022:0.575418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquier tiempo  , al comprimirse 3,5 cm. Se tiene que   es la constante del resorte y :@0.073096:0.607772:0.699033:0.607772:0.699033:0.592060:0.073096:0.592060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.202849:0.607772:0.208224:0.607772:0.208224:0.592337:0.202849:0.592337:0.000000
k:@0.479874:0.607772:0.487440:0.607772:0.487440:0.592337:0.479874:0.592337:0.000000
m:@0.073096:0.624414:0.087711:0.624414:0.087711:0.608979:0.073096:0.608979:0.000000
 es la masa del objeto.:@0.087711:0.624414:0.248477:0.624414:0.248477:0.608702:0.087711:0.608702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Si     19,6 y     1,99 g, ¿cuál es el desplazamiento vertical después de 0,9 se-:@0.073089:0.649455:0.677718:0.649455:0.677718:0.633742:0.073089:0.633742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.119629:0.649455:0.127194:0.649455:0.127194:0.634020:0.119629:0.634020:0.000000
5:@0.131225:0.648900:0.146558:0.648900:0.146558:0.635185:0.131225:0.635185:0.000000
m:@0.196902:0.649455:0.211518:0.649455:0.211518:0.634020:0.196902:0.634020:0.000000
5:@0.215549:0.648900:0.230882:0.648900:0.230882:0.635185:0.215549:0.635185:0.000000
gundos y de 1,7 segundos?:@0.103209:0.666097:0.303002:0.666097:0.303002:0.650384:0.103209:0.650384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  ¿Cuánto estará el objeto en el punto de equilibrio por primera vez?:@0.073089:0.691137:0.592589:0.691137:0.592589:0.675424:0.073089:0.675424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De acuerdo con los datos y la ecuación que describe el movimiento.:@0.073089:0.716176:0.571973:0.716176:0.571973:0.700464:0.073089:0.700464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Sustituyamos los valores de los datos.:@0.073089:0.741217:0.376788:0.741217:0.376788:0.725505:0.073089:0.725505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.820279:0.077120:0.820279:0.077120:0.804566:0.073089:0.804566:0.000000
1,99:@0.258178:0.780876:0.288108:0.780876:0.288108:0.765164:0.258178:0.765164:0.000000:0.000000:0.000000:0.000000
19,6:@0.258178:0.765497:0.288108:0.765497:0.288108:0.749784:0.258178:0.749784:0.000000:0.000000:0.000000:0.000000
!:@0.247433:0.775798:0.257399:0.775798:0.257399:0.749993:0.247433:0.749993:0.000000
1:@0.218897:0.777237:0.225583:0.777237:0.225583:0.748348:0.218897:0.748348:0.000000
0,9 :@0.225433:0.771421:0.250411:0.771421:0.250411:0.755708:0.225433:0.755708:0.000000:0.000000:0.000000:0.000000
            :@0.250319:0.771421:0.289269:0.771421:0.289269:0.755986:0.250319:0.755986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.289274:0.777237:0.295961:0.777237:0.295961:0.748348:0.289274:0.748348:0.000000
    3,33 cm;:@0.295810:0.771421:0.394354:0.771421:0.394354:0.755708:0.295810:0.755708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.299768:0.771199:0.334300:0.771199:0.334300:0.757483:0.299768:0.757483:0.000000:0.000000:0.000000
y(1,7)   3,5 :@0.105222:0.809018:0.191883:0.809018:0.191883:0.793305:0.105222:0.793305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.147706:0.808796:0.163039:0.808796:0.163039:0.795080:0.147706:0.795080:0.000000
Cos  :@0.191809:0.809018:0.223477:0.809018:0.223477:0.793582:0.191809:0.793582:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.223390:0.814832:0.230076:0.814832:0.230076:0.785943:0.223390:0.785943:0.000000
1,7              = 2,04 cm.:@0.229924:0.809018:0.383762:0.809018:0.383762:0.793305:0.229924:0.793305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.298259:0.814832:0.304945:0.814832:0.304945:0.785943:0.298259:0.785943:0.000000
1,99:@0.262651:0.817594:0.292581:0.817594:0.292581:0.801882:0.262651:0.801882:0.000000:0.000000:0.000000:0.000000
19,6:@0.262651:0.802213:0.292581:0.802213:0.292581:0.786501:0.262651:0.786501:0.000000:0.000000:0.000000:0.000000
!:@0.251907:0.812517:0.262107:0.812517:0.262107:0.786712:0.251907:0.786712:0.000000
y:@0.105409:0.771543:0.112883:0.771543:0.112883:0.756108:0.105409:0.756108:0.000000
(0,9)  3,5 :@0.112809:0.771543:0.187506:0.771543:0.187506:0.755831:0.112809:0.755831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.147286:0.771321:0.162619:0.771321:0.162619:0.757606:0.147286:0.757606:0.000000
Cos :@0.187395:0.771543:0.215823:0.771543:0.215823:0.756108:0.187395:0.756108:0.000000:0.000000:0.000000:0.000000
b.  En el punto de equilibrio,     0, 0   3,5 :@0.073089:0.850104:0.395919:0.850104:0.395919:0.834391:0.073089:0.834391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.291255:0.850104:0.298729:0.850104:0.298729:0.834669:0.291255:0.834669:0.000000
5:@0.302760:0.849549:0.318093:0.849549:0.318093:0.835834:0.302760:0.835834:0.000000
5:@0.351355:0.849549:0.366688:0.849549:0.366688:0.835834:0.351355:0.835834:0.000000
Cos:@0.395919:0.850104:0.421247:0.850104:0.421247:0.834669:0.395919:0.834669:0.000000:0.000000:0.000000
 :@0.421247:0.850104:0.425279:0.850104:0.425279:0.834391:0.421247:0.834391:0.000000
 :@0.423848:0.854046:0.427879:0.854046:0.427879:0.838334:0.423848:0.838334:0.000000
1:@0.427799:0.859862:0.434486:0.859862:0.434486:0.830973:0.427799:0.830973:0.000000
t            :@0.434335:0.854046:0.478586:0.854046:0.478586:0.838611:0.434335:0.838611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.478608:0.859862:0.485295:0.859862:0.485295:0.830973:0.478608:0.830973:0.000000
!:@0.446892:0.858427:0.454322:0.858427:0.454322:0.832622:0.446892:0.832622:0.000000
k:@0.460929:0.848123:0.468494:0.848123:0.468494:0.832688:0.460929:0.832688:0.000000
m:@0.457537:0.862629:0.472152:0.862629:0.472152:0.847194:0.457537:0.847194:0.000000
 :@0.073089:0.882369:0.077120:0.882369:0.077120:0.866656:0.073089:0.866656:0.000000
 :@0.100394:0.880785:0.104425:0.880785:0.104425:0.865073:0.100394:0.865073:0.000000
1:@0.104345:0.886600:0.111032:0.886600:0.111032:0.857711:0.104345:0.857711:0.000000
t            :@0.110881:0.880785:0.155132:0.880785:0.155132:0.865350:0.110881:0.865350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.155154:0.886600:0.161841:0.886600:0.161841:0.857711:0.155154:0.857711:0.000000
!:@0.123438:0.885167:0.130867:0.885167:0.130867:0.859361:0.123438:0.859361:0.000000
k:@0.137475:0.874862:0.145040:0.874862:0.145040:0.859427:0.137475:0.859427:0.000000
m:@0.134082:0.889367:0.148698:0.889367:0.148698:0.873932:0.134082:0.873932:0.000000
   :@0.162776:0.882369:0.186172:0.882369:0.186172:0.866656:0.162776:0.866656:0.000000:0.000000:0.000000
5:@0.166807:0.881814:0.182141:0.881814:0.182141:0.868099:0.166807:0.868099:0.000000
Cos:@0.186172:0.882369:0.211500:0.882369:0.211500:0.866934:0.186172:0.866934:0.000000:0.000000:0.000000
2:@0.211500:0.875982:0.220439:0.875982:0.220439:0.867985:0.211500:0.867985:0.000000
1:@0.220439:0.876305:0.225676:0.876305:0.225676:0.867145:0.220439:0.867145:0.000000
(0)   1,5708,     :@0.225675:0.882369:0.351931:0.882369:0.351931:0.866656:0.225675:0.866656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.248445:0.881814:0.263778:0.881814:0.263778:0.868099:0.248445:0.868099:0.000000
t:@0.323160:0.882369:0.328535:0.882369:0.328535:0.866934:0.323160:0.866934:0.000000
5:@0.332566:0.881814:0.347900:0.881814:0.347900:0.868099:0.332566:0.868099:0.000000
1,5708:@0.356313:0.876092:0.404062:0.876092:0.404062:0.860379:0.356313:0.860379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,1384:@0.356129:0.890598:0.404246:0.890598:0.404246:0.874885:0.356129:0.874885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   0,5 s.:@0.408920:0.882369:0.467381:0.882369:0.467381:0.866656:0.408920:0.866656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.412951:0.881814:0.428284:0.881814:0.428284:0.868099:0.412951:0.868099:0.000000
Cuando    0,5 segundos, el objeto está en el punto de equilibrio.:@0.103203:0.907410:0.585841:0.907410:0.585841:0.891697:0.103203:0.891697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.165407:0.907410:0.170782:0.907410:0.170782:0.891974:0.165407:0.891974:0.000000
5:@0.174813:0.906855:0.190146:0.906855:0.190146:0.893139:0.174813:0.893139:0.000000
Existen :@0.744288:0.185685:0.794349:0.185685:0.794349:0.171401:0.744288:0.171401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
softwares:@0.794239:0.185685:0.854516:0.185685:0.854516:0.171653:0.794239:0.171653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 libres, :@0.854497:0.185685:0.899466:0.185685:0.899466:0.171401:0.854497:0.171401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como GeoGebra, que :@0.744305:0.200814:0.890060:0.200814:0.890060:0.186530:0.744305:0.186530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permiten realizar las :@0.744305:0.215943:0.879873:0.215943:0.879873:0.201659:0.744305:0.201659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráficas de las funciones :@0.744305:0.231072:0.908073:0.231072:0.908073:0.216788:0.744305:0.216788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas de forma :@0.744305:0.246201:0.916787:0.246201:0.916787:0.231917:0.744305:0.231917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precisa, ágil e interactiva.:@0.744305:0.261330:0.907584:0.261330:0.907584:0.247046:0.744305:0.247046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Más adelante te :@0.744305:0.276459:0.852637:0.276459:0.852637:0.262174:0.744305:0.262174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indicaremos el trazo de :@0.744305:0.291588:0.901422:0.291588:0.901422:0.277303:0.744305:0.277303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas gráficas con el uso :@0.744305:0.306717:0.906096:0.306717:0.906096:0.292432:0.744305:0.292432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de esta herramienta.:@0.744305:0.321846:0.879340:0.321846:0.879340:0.307561:0.744305:0.307561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.744288:0.420166:0.792328:0.420166:0.792328:0.405012:0.744288:0.405012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre cómo hacer :@0.792239:0.420166:0.919127:0.420166:0.919127:0.405882:0.792239:0.405882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráficas de funciones :@0.744280:0.435295:0.887264:0.435295:0.887264:0.421011:0.744280:0.421011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas en :@0.744280:0.450424:0.873987:0.450424:0.873987:0.436140:0.744280:0.436140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
GeoGebra.:@0.744280:0.465553:0.814599:0.465553:0.814599:0.451269:0.744280:0.451269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.741917:0.141559:0.850477:0.141559:0.850477:0.124612:0.741917:0.124612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
digital:@0.741917:0.158201:0.792609:0.158201:0.792609:0.141254:0.741917:0.141254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la Figura 5.13., :@0.744288:0.513054:0.860130:0.513054:0.860130:0.498770:0.744288:0.498770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se muestra una :@0.744288:0.528183:0.848875:0.528183:0.848875:0.513899:0.744288:0.513899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parte del gráfico del :@0.744288:0.543312:0.880264:0.543312:0.880264:0.529028:0.744288:0.529028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto  (:@0.744288:0.558441:0.822318:0.558441:0.822318:0.544156:0.744288:0.544156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G Csc:@0.808044:0.558441:0.843871:0.558441:0.843871:0.544409:0.808044:0.544409:0.000000:0.000000:0.000000:0.000000:0.000000
) al :@0.843821:0.558441:0.866529:0.558441:0.866529:0.544156:0.843821:0.544156:0.000000:0.000000:0.000000:0.000000:0.000000
que lo denominamos :@0.744288:0.573570:0.890375:0.573570:0.890375:0.559285:0.744288:0.559285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representación gráfica de :@0.744288:0.588699:0.915223:0.588699:0.915223:0.574414:0.744288:0.574414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función cosecante. :@0.744288:0.603828:0.886831:0.603828:0.886831:0.589543:0.744288:0.589543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 5.13.:@0.866725:0.740016:0.926913:0.740016:0.926913:0.728588:0.866725:0.728588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.918647:0.688618:0.923391:0.688618:0.923391:0.678795:0.918647:0.678795:0.000000
1:@0.804376:0.674345:0.808459:0.674345:0.808459:0.667203:0.804376:0.667203:0.000000
1:@0.795733:0.684469:0.799816:0.684469:0.799816:0.677326:0.795733:0.677326:0.000000
2:@0.804468:0.691926:0.811438:0.691926:0.811438:0.685691:0.804468:0.685691:0.000000
1:@0.811019:0.692178:0.815102:0.692178:0.815102:0.685036:0.811019:0.685036:0.000000
y:@0.793288:0.627420:0.798044:0.627420:0.798044:0.617597:0.793288:0.617597:0.000000
y:@0.839059:0.632366:0.843356:0.632366:0.843356:0.623491:0.839059:0.623491:0.000000
   :@0.843356:0.632366:0.855962:0.632366:0.855962:0.623331:0.843356:0.623331:0.000000:0.000000:0.000000
5:@0.844827:0.632047:0.853644:0.632047:0.853644:0.624161:0.844827:0.624161:0.000000
Csc x:@0.855115:0.632366:0.875966:0.632366:0.875966:0.623491:0.855115:0.623491:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.868874:0.632366:0.880612:0.632366:0.880612:0.623331:0.868874:0.623331:0.000000:0.000000:0.000000:0.000000
p:@0.815022:0.683610:0.820045:0.683610:0.820045:0.677999:0.815022:0.677999:0.000000
2:@0.815700:0.690140:0.819375:0.690140:0.819375:0.683712:0.815700:0.683712:0.000000
p:@0.777597:0.683610:0.782620:0.683610:0.782620:0.677999:0.777597:0.677999:0.000000
2:@0.778267:0.690140:0.781942:0.690140:0.781942:0.683712:0.778267:0.683712:0.000000
2:@0.744017:0.683837:0.747692:0.683837:0.747692:0.677409:0.744017:0.677409:0.000000
p 2p:@0.747692:0.683610:0.770154:0.683326:0.770154:0.677715:0.747692:0.677999:0.000000:0.000000:0.000000:0.000000
2:@0.746525:0.690140:0.750199:0.690140:0.750199:0.683712:0.746525:0.683712:0.000000
p:@0.833280:0.683326:0.838303:0.683326:0.838303:0.677715:0.833280:0.677715:0.000000
2 p:@0.720508:0.683610:0.735478:0.683610:0.735478:0.677999:0.720508:0.677999:0.000000:0.000000:0.000000
2:@0.726780:0.683837:0.730455:0.683837:0.730455:0.677409:0.726780:0.677409:0.000000
2:@0.868191:0.683826:0.871865:0.683826:0.871865:0.677398:0.868191:0.677398:0.000000
p:@0.871865:0.683599:0.876888:0.683599:0.876888:0.677988:0.871865:0.677988:0.000000
3:@0.904825:0.683826:0.908500:0.683826:0.908500:0.677398:0.904825:0.677398:0.000000
p:@0.908500:0.683599:0.913523:0.683599:0.913523:0.677988:0.908500:0.677988:0.000000
3:@0.849119:0.684524:0.852794:0.684524:0.852794:0.678096:0.849119:0.678096:0.000000
p:@0.852794:0.684297:0.857817:0.684297:0.857817:0.678686:0.852794:0.678686:0.000000
2:@0.851627:0.690827:0.855301:0.690827:0.855301:0.684399:0.851627:0.684399:0.000000
3:@0.888211:0.683837:0.891886:0.683837:0.891886:0.677409:0.888211:0.677409:0.000000
p:@0.891886:0.683610:0.896909:0.683610:0.896909:0.677999:0.891886:0.677999:0.000000
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2:@0.737057:0.686708:0.743329:0.686708:0.743329:0.681097:0.737057:0.681097:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000